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Finding the Fourth Proportional to 107,164.80, 160,714.36 and 74,097.36

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Solution

The fourth proportional to 107,164.80, 160,714.36 and 74,097.36 is: 111,123.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,164.80 : 160,714.36 = 74,097.36 : x
  2. Step 2: Convert to fraction form
    107,164.80/160,714.36 = 74,097.36/x
  3. Step 3: Cross multiply
    107,164.80x = 160,714.36 × 74,097.36
  4. Step 4: Simplify right side
    107,164.80x = 11,908,509,790.09
  5. Step 5: Solve for x
    x = 11,908,509,790.09/107,164.80
  6. Step 6: Final answer
    x = 111,123.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.